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Finding the Fourth Proportional to 912.53, 1,367.54 and 790.49

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Solution

The fourth proportional to 912.53, 1,367.54 and 790.49 is: 1,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.53 : 1,367.54 = 790.49 : x
  2. Step 2: Convert to fraction form
    912.53/1,367.54 = 790.49/x
  3. Step 3: Cross multiply
    912.53x = 1,367.54 × 790.49
  4. Step 4: Simplify right side
    912.53x = 1,081,022.74
  5. Step 5: Solve for x
    x = 1,081,022.74/912.53
  6. Step 6: Final answer
    x = 1,184.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.